Advances in Modal Logic 15

Advances in Modal Logic 15
Author: Agata Ciabattoni
Publisher:
Total Pages: 0
Release: 2024-08-02
Genre: Mathematics
ISBN: 9781848904675

Since ancient times, philosophers have recognised that truth comes in many 'modes', so that a proposition can be not only true or false, but also, for example, 'necessary' or 'possible'. These ideas led to the modern field of modal logic, a lively area of research at the interface of philosophy, mathematics and computer science. Nowadays, the term 'modal logic' is understood in a broad sense, allowing it to encompass logics for reasoning about seemingly unrelated phenomena such as knowledge, obligations, time, space, and proofs, among many others. Contemporary research in modal logic draws on techniques from many disciplines, including complexity theory, combinatorics, universal algebra, category theory, topology, and proof theory. These proceedings record the papers presented at Advances in Modal Logic 2024, the 15th in a series of biennial conferences that aim to report on important new developments in pure and applied modal logic. Topics in this issue include epistemic modal logic, constructive and many-valued modal logic, unification, algebraic and neighbourhood semantics, proof theory and complexity of modal logics, conditional and quantified modal logic.

Advances in Modal Logic

Advances in Modal Logic
Author: Frank Wolter
Publisher: World Scientific
Total Pages: 425
Release: 2002
Genre: Computers
ISBN: 9812776478

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic. The topics dealt with are of interdisciplinary interest and range from mathematical, computational, and philosophical problems to applications in knowledge representation and formal linguistics.Volume 3 presents substantial advances in the relational model theory and the algorithmic treatment of modal logics. It contains invited and contributed papers from the third conference on OC Advances in Modal LogicOCO, held at the University of Leipzig (Germany) in October 2000. It includes papers on dynamic logic, description logic, hybrid logic, epistemic logic, combinations of modal logics, tense logic, action logic, provability logic, and modal predicate logic."

Advances in Modal Logic

Advances in Modal Logic
Author:
Publisher: Center for the Study of Language and Information Publica Tion
Total Pages: 496
Release: 1998
Genre: Mathematics
ISBN:

Modal Logic, originally conceived as the logic of necessity and possibility, has developed into a powerful mathematical and computational discipline. It is the main source of formal languages aimed at analyzing complex notions such as common knowledge and formal provability. Modal and modal-like languages also provide us with families of restricted description languages for relational and topological structures; they are being used in many disciplines, ranging from artificial intelligence, computer science and mathematics via natural language syntax and semantics to philosophy. This volume presents a broad and up-to-date view of the field, with contributions covering both the foundations of modal logic itself and each of the aforementioned application areas. Complemented with an editorial introduction covering the roots of modal logic, this book is indispensable for any advanced student and researcher in non-classical logic and its applications.

Advances in Modal Logic

Advances in Modal Logic
Author: Rajeev Gore
Publisher:
Total Pages: 600
Release: 2014-06-18
Genre: Mathematics
ISBN: 9781848901513

Modal logic is a subject with ancient roots in the western logical tradition. Up until the last few generations, it was pursued mainly as a branch of philosophy. But in recent years, the subject has taken new directions with connections to topics in computer science and mathematics. This volume is the proceedings of the conference of record in its fi eld, Advances in Modal Logic. Its contributions are state-of-the-art papers. The topics include decidability and complexity results for specifi c modal logics, proof theory of modal logic, logics for reasoning about time and space, provability logic, dynamic epistemic logic, and the logic of evidence.

Handbook of Modal Logic

Handbook of Modal Logic
Author: Patrick Blackburn
Publisher: Elsevier
Total Pages: 1260
Release: 2006-11-03
Genre: Mathematics
ISBN: 9780080466668

The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth

Advances In Modal Logic, Volume 3

Advances In Modal Logic, Volume 3
Author: Maarten De Rijke
Publisher: World Scientific
Total Pages: 425
Release: 2002-09-24
Genre: Computers
ISBN: 9814487368

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic. The topics dealt with are of interdisciplinary interest and range from mathematical, computational, and philosophical problems to applications in knowledge representation and formal linguistics.Volume 3 presents substantial advances in the relational model theory and the algorithmic treatment of modal logics. It contains invited and contributed papers from the third conference on “Advances in Modal Logic”, held at the University of Leipzig (Germany) in October 2000. It includes papers on dynamic logic, description logic, hybrid logic, epistemic logic, combinations of modal logics, tense logic, action logic, provability logic, and modal predicate logic.

Advances in Modal Logic: Volume 1

Advances in Modal Logic: Volume 1
Author: Marcus Kracht
Publisher: Center for the Study of Language and Information Publications
Total Pages: 0
Release: 1998-04-28
Genre: Mathematics
ISBN: 9781575861036

Modal logic originated in philosophy as the logic of necessity and possibility. Now it has reached a high level of mathematical sophistication and has many applications in a variety of disciplines, including theoretical and applied computer science, artificial intelligence, the foundations of mathematics, and natural language syntax and semantics. This volume represents the proceedings of the first international workshop on Advances in Modal Logic, held in Berlin, Germany, October 8-10, 1996. It offers an up-to-date perspective on the field, with contributions covering its proof theory, its applications in knowledge representation, computing and mathematics, as well as its theoretical underpinnings.

Advances in Modal Logic 14

Advances in Modal Logic 14
Author: David Fernández Duque
Publisher:
Total Pages: 0
Release: 2022-07-19
Genre:
ISBN: 9781848904132

Ever since antiquity, philosophers have recognized that truth comes in many "modes", so that a proposition may not only be true or false, but also e.g. "necessary" or "possible". These ideas led to the modern field of modal logic, a lively are of research at the intersection of philosophy, mathematics, and computer science. Nowadays, the term "modal logic" is understood in a broad sense, which allows it to be used for reasoning about seemingly unrelated phenomena such as knowledge, obligations, time, space, and proofs, among many others. Actual research in modal logic draws on techniques from many disciplines including complexity theory, combinatorics, universal algebra, category theory, topology, and proof theory. These proceedings record the papers presented at the 2022 Advances in Modal Logic, a biennial conference series with an aim to report on important new developments in pure and applied modal logic. The topics in this edition include constructive and substructural modal logic, unification, algebraic and neighbourhood semantics, proof theory and complexity of modal logics, and verification in modal logic.

Modal Logic

Modal Logic
Author: Patrick Blackburn
Publisher: Cambridge University Press
Total Pages: 574
Release: 2002-08-22
Genre: Computers
ISBN: 1316101959

This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Researchers in areas ranging from economics to computational linguistics have since realised its worth. The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects, and applications to issues in logic and computer science such as completeness, computability and complexity are considered. Three appendices supply basic background information and numerous exercises are provided. Ideal for anyone wanting to learn modern modal logic.